Dye Laser Model with Multiplicative Colored Noise

P. Jung, H. Risken
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Abstract

A single mode laser model with fluctuating pump parameter is in use to describe the statistical properties of the light intensity of a Dye laser [1-4]. The normalized Langevin equation with multiplicative colored noise read where ϵ represents exponential correlated noise with the noise strength D and the relaxation time γ-4[5-7]. The equivalent two variable Fokker-Planck equation has the form [5,8,9]
具有乘性彩色噪声的染料激光模型
采用脉动泵参量的单模激光模型来描述染料激光器光强的统计特性[1-4]。带乘性有色噪声的归一化朗之万方程为,其中,λ表示与噪声强度D和弛豫时间γ-4呈指数相关的噪声[5-7]。等效的两变量Fokker-Planck方程的形式为[5,8,9]
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